One can then measure \(M_{\rm Fe,500}\)  either by multiplying a representative deprojected gas-mass weighted iron abundance times the total gas mass of the system within \(r_{500}\)  [1]} or by taking fully into account the radial dependence of the deprojected iron abundance and gas mass [2]}, [3]}:
\(M_{\rm Fe} (<R) = 4\pi A_{\rm Fe} m_{\rm H} {Z_{\odot }}~ \int _0^R Z_{\rm depro}(r) ~n_{\rm H}(r)~ r^2 dr,\) 
